Class 12Mathematics3 and 4 .Determinants and MatricesExpansion of determinants, Solution of equation in the form of determinants and area of triangle and Equation of Line
Easy$\left|\begin{array}{lll}24 & 25 & 26 \\ 25 & 26 & 27 \\ 26 & 27 & 27\end{array}\right|$ ની કિંમત શોધો.
- A$0$
- B$-1$
- C$1$
- D$2$
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Similar Questions
$0 < \theta < \frac{\pi}{2}$ માટે,જો $A = \begin{bmatrix} 1 & -\cos \theta & -1 \\ \cos \theta & 1 & -\cos \theta \\ 1 & \cos \theta & 1 \end{bmatrix}$ હોય,તો $\operatorname{det}(A)$ વિશે નીચેનામાંથી શું સાચું છે?
$\left|\begin{array}{rr}\sin 35^{\circ} & -\cos 35^{\circ} \\ \sin 55^{\circ} & \cos 55^{\circ}\end{array}\right|=$ . . . . . .
$\begin{vmatrix} \cos^2\theta & -\sin^2\theta \\ \sin^2\theta & \cos^2\theta \end{vmatrix} = \dots$
DifficultGUJCET 2025
View Solutionનિશ્ચાયકનું મૂલ્ય શોધો: $\left| \begin{array}{ccc} 1 & a & b \\ -a & 1 & c \\ -b & -c & 1 \end{array} \right|$
Easy
View Solution$t$ ના વાસ્તવિક મૂલ્યોની સંખ્યા શોધો જેથી સમપરિમાણીય સમીકરણોની સિસ્ટમ
$\begin{aligned}
t x+(t+1) y+(t-1) z &=0 \\
(t+1) x+t y+(t+2) z &=0 \\
(t-1) x+(t+2) y+t z &=0
\end{aligned}$
ને બિન-તુચ્છ (non-trivial) ઉકેલો મળે.
$\begin{aligned}
t x+(t+1) y+(t-1) z &=0 \\
(t+1) x+t y+(t+2) z &=0 \\
(t-1) x+(t+2) y+t z &=0
\end{aligned}$
ને બિન-તુચ્છ (non-trivial) ઉકેલો મળે.
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